Column 1
Column 2
Column 3
Column 4
Column 5
100
The median of the list n, n + 3, n + 4, n + 5, n + 6, n + 8, n + 10, n + 12, n + 15 is 10. What is the mean? a.4 b.6 c.7 d.10 e.11
What is e, 11
100
The sum of two numbers is S. Suppose 3 is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two numbers? a.2S+3 b.3S+2 c.3S+6 d.2S+6 e.2S+12
What is e, 2S+12
100
What is the maximum number for the possible points of intersection of a circle and a triangle? a.2 b.3 c.4 d.5 e.6
What is e, 6
100
Let P(n) and S(n) denote the product and the sum, respectively, of the digits of the integer n. For example, P(23) = 6 and S(23) = 5. Suppose N is a two-digit number such that N = P(N)+S(N). What is the units digit of N? a.2 b.3 c.6 d.8 e.9
What is e, 9
100
When the decimal point of a certain positive decimal number is moved four places to the right, the new number is four times the reciprocal of the original number. What is the original number? a. 0.0002 b. 0.002 c. 0.02 d. 0.2 e. 2
What is c, 0.02
200
Wanda, Darren, Beatrice, and Chi are tutors in the school math lab. Their schedule is as follows: Darren works every third school day, Wanda works every fourth school day, Beatrice works every sixth school day, and Chi works every seventh school day. Today they are all working in the math lab. In how many school days from today will they next be together tutoring in the lab? a. 42 b. 84 c. 126 d. 178 e. 252
What is b, 84
200
The state income tax where Kristin lives is levied at the rate of p% of the first $28000 of annual income plus (p + 2)% of any amount above $28000. Kristin noticed that the state income tax she paid amounted to (p + 0.25)% of her annual income. What was her annual income? a.$28,000 b.$32,000 c.$35,000 d.$42,000 e.$56,000
What is b, $32,000
200
If x, y, and z are positive with xy = 24, xz = 48, and yz = 72, then x + y + z is a.18 b.19 c.20 d.22 e.24
What is d, 22
200
Suppose that n is the product of three consecutive integers and that n is divisible by 7. Which of the following is not necessarily a divisor of n? a.6 b.14 c.21 d.28 e.42
What is d, 28
200
A telephone number has the form ABC - DEF - GHIJ, where each letter represents a different digit. The digits in each part of the numbers are in decreasing order; that is, A > B > C, D > E > F, and G > H > I > J. Furthermore, D, E, and F are consecutive even digits; G, H, I, and J are consecutive odd digits; and A + B + C = 9. Find A. a.4 b.5 c.6 d.7 e.8
What is e, 8
300
Both roots of the quadratic equation x^2 - 63x + k = 0 are prime numbers. The number of possible values of k is a.0 b.1 c.2 d.4 e. more than 4
What is b, 1
300
A charity sells 140 benefit tickets for a total of $2001. Some tickets sell for full price (a whole dollar amount), and the rest sells for half price. How much money is raised by the full-price tickets? a.$782 b.$986 c.$1158 d.$1219 e.$1449
What is a, $728
300
A street has parallel curbs 40 feet apart. A crosswalk bounded by two parallel stripes crosses the street at an angle. The length of the curb between the stripes is 15 feet and each stripe is 50 feet long. Find the distance, in feet, between the stripes? a.9 b.10 c.12 d.15 e.25
What is c, 12
300
The mean of three numbers is 10 more than the least of the numbers and 15 less than the greatest. The median of the three numbers is 5. What is their sum? a.5 b.20 c.25 d.30 e.36
What is d, 30
300
Using the digits 1, 2, 3, 4, 5, 6, 7, and 9, form 4 two-digit prime numbers, using each digit only once. What is the sum of the 4 prime numbers? a.150 b.160 c.170 d.180 e.190
What is e, 190
400
Let a + 1 = b + 2 = c + 3 = d + 4 = a + b + c + d + 5. What is a + b + c + d? a.-5 b.-10/3 c.-7/3 d.5/3 e.5
What is b, -10/3
400
Sarah pours 4 ounces of coffee into a cup that can hold 8 ounces. Then she pours 4 ounces of cream into a second cup that can also hold 8 ounces. She then pours half of the contents of the first cup into the second cup, completely mixes the contents of the second cup, then pours half of the contents of the second cup back into the first cup. What fraction of the contents in the first cup is cream? a.1/4 b.1/3 c.3/8 d.2/5 e.1/2
What is d, 2/5
400
Pat wants to buy four donuts from an ample supply of three types of donuts: glazed, chocolate, and powdered. How many different selections are possible? a.6 b.9 c.12 d.15 e.18
What is d, 15
400
A 3x3x3 cube is made of 27 normal dice. Each die's opposite sides sum to 7. What is the smallest possible sum of all of the values visible on the 6 faces of the large cube? a.60 b.72 c.84 d.90 e.96
What is d, 90
400
The mean, median, unique mode, and range of a collection of eight integers are all equal to 8. The largest integer that can be an element of this collection is a.11 b.12 c.13 d.14 e.15
What is d, 14
500
How many positive integers not exceeding 2001 are multiples of 3 or 4 but not 5? a.768 b.801 c.934 d.1067 e.1167
What is b, 801
500
A set of tiles numbered 1 through 100 is modified repeatedly by the following operation: remove all tiles numbered with a perfect square, and renumber the remaining tiles consecutively starting with 1. How many times must the operation be performed to reduce the number of tiles in the set to one? a.10 b.11 c.18 d.19 e.20
What is c, 18
500
A right circular cylinder with its diameter equal to its height is inscribed in a right circular cone. The cone has diameter 10 and altitude 12, and the axes of the cylinder and cone coincide. Find the radius of the cylinder. a.8/3 b.30/11 c.3 d.25/8 e.7/2
What is b, 30/11
500
A box contains exactly five chips, three red and two white. Chips are randomly removed one at a time without replacement until all the red chips are drawn or all the white chips are drawn. What is the probability that the last chip drawn is white? a.3/10 b.2/5 c.1/2 d.3/5 e.7/10
What is d, 3/5
500
Tina randomly selects two distinct numbers from the set {1, 2, 3, 4, 5}, and Sergio randomly selects a number from the set {1, 2, ..., 10}. What is the probability that Sergio's number is larger than the sum of the two numbers chosen by Tina? a.2/5 b.9/20 c.1/2 d.11/20 e.24/25
What is a, 2/5
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